P prototypes are increasingly replaced by virtual prototypes in the industrial implementation of Product Lifecycle Management. The design evaluation of an industrial deformable mechanical part plays a crucial role in term of validating its functional properties. From the industrial point of view, a deformable model formulated by the Finite Element Method is normally employed. However, the emplo...

We develop a new homotopy method for solving multiparameter eigenvalue problems (MEPs) called the fiber product method. For k-parameter problem with matrices of sizes $$n_1,\ldots ,n_k = O(n)$$ , requires deformation O(1) linear equations, while existing methods MEPs require O(n) nonlinear equations. show that theoretically finds all eigenpairs an MEP probability one. It is especially well-suit...

The problem of detecting feature interactions in telephone systems design is addressed. The method proposed involves specification of the features in LOTOS, and uses an analysis technique called backward reasoning. This is is implemented in LOTOS by a combination of backward and forward execution. A tool to help carry out backward execution is presented. A detailed example of the use of the tec...

A new block extended backward differentiation formula suitable for the integration of stiff initial value problems is derived. The procedure used involves the use of an extra future point which helps in improving the performance of an existing block backward differentiation formula. The method approximates the solution at 3 points simultaneously at each step. Accuracy and stability properties o...

Abstract. This paper focuses on two variants of the Milstein scheme, namely the split-step backward Milstein method and a newly proposed projected Milstein scheme, applied to stochastic differential equations which satisfy a global monotonicity condition. In particular, our assumptions include equations with super-linearly growing drift and diffusion coefficient functions and we show that both ...

A new iterative algorithm for solving initial data inverse problems from partial observations has been recently proposed in Ramdani, Tucsnak and Weiss [24]. Based on the concept of observers (also called Luenberger observers), this algorithm covers a large class of abstract evolution PDE’s. In this paper, we are concerned with the convergence analysis of this algorithm. More precisely, we provi...

This paper formulates and analyzes a weak solution to the coupling of time-dependent Navier-Stokes flow with Darcy flow under certain boundary conditions, one of them being the Beaver-Joseph-Saffman law on the interface. Existence and a priori estimates for the weak solution are shown under additional regularity assumptions. We introduce a fully discrete scheme with the unknowns being the Navie...

This is the first in a series of papers on implementing a discontinuous Galerkin method as a MATLAB /GNUOctave toolbox. The main goal is the development of techniques that deliver optimized computational performance combined with a compact, user-friendly interface. Our implementation relies on fully vectorized matrix / vector operations and is carefully documented; in addition, a direct mapping...

In the system of cloth simulation, the process of cloth deformation together with the method of self-collision detection have great significance on how to simulate cloth deformation fast and realistic on computer. In this paper, we present a novel contour test based on the star-shaped property of a polygon, the central data structure for efficient execution of the star-contour test. This paper ...

Geosynthetic reinforced soil (GRS) walls and abutments are increasingly used to support transportation infrastructure. A pressing question in their response is the amount of horizontal deflection expected under service loads. This paper presents an evaluation of six methods for predicting the lateral deformation of GRS walls and abutments, namely the FHWA, Geoservice, CTI, Jewell-Milligan, Wu, ...